81346728372000 has 3072 divisors, whose sum is σ = 347783263027200. Its totient is φ = 16260341760000.

The previous prime is 81346728371971. The next prime is 81346728372001. The reversal of 81346728372000 is 27382764318.

It is not an unprimeable number, because it can be changed into a prime (81346728372001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 337538291880 + ... + 337538292120.

It is an arithmetic number, because the mean of its divisors is an integer number (113210697600).

Almost surely, 2^{81346728372000} is an apocalyptic number.

81346728372000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81346728372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173891631513600).

81346728372000 is an abundant number, since it is smaller than the sum of its proper divisors (266436534655200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81346728372000 is a wasteful number, since it uses less digits than its factorization.

81346728372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 81346728372000 in words is "eighty-one trillion, three hundred forty-six billion, seven hundred twenty-eight million, three hundred seventy-two thousand".